31138992324000
31,138,992,324,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 31138992324000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
31138992324000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 31138992324000:
25 × 34 × 53 × 112 × 29 × 61 × 449
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 29 × 61 × 449)See below for interesting mathematical facts about the number 31138992324000 from the Numbermatics database.
Names of 31138992324000
- Cardinal: 31138992324000 can be written as Thirty-one trillion, one hundred thirty-eight billion, nine hundred ninety-two million, three hundred twenty-four thousand.
Scientific notation
- Scientific notation: 3.1138992324 × 1013
Factors of 31138992324000
Divisors of 31138992324000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 32 33 36 40 44 45 48 50 54 55 58 60 61 66 72 75 80 81 87 88 90 96 99 100 108 110 116 120 121 122 125 132 135 144 145 150 160 162 165 174 176 180 183 198 200 216 220 225 232 240 242 244 250 261 264 270 275 288 290 297 300 305 319 324 330 348 352 360 363 366 375 396 400 405 432 435 440 449 450 464 480 484 488 495 500 522 528 540 549 550 580 594 600 605 610 638 648 660 671 675 696 720 725 726 732 750 783 792 800 810 825 864 870 880 891 898 900 915 928 957 968 976 990 1000 1044 1056 1080 1089 1098 1100 1125 1160 1188 1200 1210 1220 1276 1296 1305 1320 1342 1347 1350 1375 1392 1440 1450 1452 1464 1485 1500 1525 1566 1584 1595 1620 1647 1650 1740 1760 1769 1782 1796 1800 1815 1830 1914 1936 1952 1980 2000 2013 2025 2088 2160 2175 2178 2196 2200 2245 2250 2320 2349 2376 2400 2420 2440 2475 2552 2592 2610 2640 2684 2694 2700 2745 2750 2784 2871 2900 2904 2928 2970 3000 3025 3050 3132 3168 3190 3240 3267 3294 3300 3355 3375 3480 3509 3538 3564 3592 3600 3625 3630 3660 3828 3872 3915 3960 4000 4026 4041 4050 4125 4176 4320 4350 4356 4392 4400 4455 4490 4500 4575 4640 4698 4752 4785 4840 4880 4939 4941 4950 5104 5220 5280 5307 5368 5388 5400 5445 5490 5500 5742 5800 5808 5856 5940 6000 6039 6050 6100 6264 6380 6480 6525 6534 6588 6600 6710 6735 6750 6960 7018 7076 7128 7184 7200 7250 7260 7320 7381 7425 7625 7656 7830 7920 7975 8052 8082 8100 8235 8250 8352 8613 8700 8712 8784 8800 8845 8910 8980 9000 9075 9150 9396 9504 9570 9680 9760 9801 9878 9882 9900 10065 10125 10208 10440 10527 10614 10736 10776 10800 10875 10890 10980 11000 11225 11484 11600 11616 11745 11880 12000 12078 12100 12123 12200 12375 12528 12760 12960 13021 13050 13068 13176 13200 13420 13470 13500 13725 13920 14036 14152 14256 14355 14368 14500 14520 14640 14762 14817 14850 15125 15250 15312 15660 15840 15921 15950 16104 16164 16200 16335 16470 16500 16775 17226 17400 17424 17545 17568 17690 17820 17960 18000 18117 18150 18300 18792 19140 19360 19459 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10634901750 10722793500 10737583560 10846044000 11184982875 11323269936 11343895200 11532960120 11558646000 11601711000 11795072850 11930648400 12013500125 12201799500 12581411040 12761882100 12867352200 12974580135 13105636500 13256276000 13421979450 13839552144 13870375200 14154087420 14179869000 14297058000 14316778080 14416200150 14913310500 15377280160 15468948000 15569496162 15726763800 15952352625 16084190250 16269066000 17015842800 17156469600 17299440180 17337969000 17474182000 17602596000 17692609275 17895972600 18872116560 18906492000 19221600200 19522879200 19658454750 19884414000 20419011360 20759328216 20969018400 21269803500 21445587000 21475167120 21624300225 22369965750 22646539872 23065920240 23117292000 23203422000 23590145700 23861296800 24027000250 24403599000 25523764200 25734704400 25949160270 26211273000 26843958900 27679104288 28308174840 28359738000 28594116000 28832400300 29487682125 29826621000 31138992324 31453527600 31904705250 32168380500 32538132000 33554948625 34031685600 34598880360 34675938000 34948364000 35385218550 35791945200 36040500375 37744233120 38443200400 38923740405 39316909500 39768828000 41518656432 42539607000 42891174000 42950334240 43248600450 44739931500 46131840480 46406844000 47180291400 48054000500 48807198000 51047528400 51469408800 51898320540 52422546000 53687917800 56616349680 56719476000 57664800600 58975364250 59653242000 62277984648 62907055200 63809410500 64336761000 64872900675 67109897250 69197760720 69351876000 70770437100 71583890400 72081000750 76886400800 77847480810 78633819000 83037312864 85079214000 85782348000 86497200900 88463046375 89479863000 94360582800 96108001000 97614396000 102095056800 103796641080 104845092000 107375835600 108121501125 113232699360 115329601200 117950728500 119306484000 124555969296 127618821000 128673522000 129745801350 134219794500 138395521440 141540874200 144162001500 155694961620 157267638000 170158428000 172994401800 176926092750 178959726000 188721165600 192216002000 194618702025 207593282160 214751671200 216243002250 230659202400 235901457000 249111938592 255237642000 257347044000 259491602700 268439589000 283081748400 288324003000 311389923240 314535276000 324364503375 345988803600 353852185500 357919452000 384432004000 389237404050 415186564320 432486004500 471802914000 510475284000 518983205400 536879178000 566163496800 576648006000 622779846480 648729006750 691977607200 707704371000 778474808100 864972009000 943605828000 973093510125 1037966410800 1073758356000 1153296012000 1245559692960 1297458013500 1415408742000 1556949616200 1729944018000 1946187020250 2075932821600 2594916027000 2830817484000 3113899232400 3459888036000 3892374040500 5189832054000 6227798464800 7784748081000 10379664108000 15569496162000 31138992324000
- Sum of all divisors σ(n): 132381597348000
- Sum of proper divisors (its aliquot sum) s(n): 101242605024000
- 31138992324000 is an abundant number, because the sum of its proper divisors (101242605024000) is greater than itself. Its abundance is 70103612700000
Bases of 31138992324000
- Binary: 1110001010010000111001001001101111101101000002
- Hexadecimal: 0x1C521C937DA0
- Base-36: B1D201M00
Squares and roots of 31138992324000
- 31138992324000 squared (311389923240002) is 969636842954130920976000000
- 31138992324000 cubed (311389923240003) is 30193514209816276232362714588224000000000
-
The
square root of 31138992324000 is 5580232.2822620923 -
The
cube root of 31138992324000 is 31460.6857561573
Scales and comparisons
How big is 31138992324000?- 31,138,992,324,000 seconds is equal to 990,123 years, 33 weeks, 18 hours.
-
To count from 1 to 31,138,992,324,000 would take you about two million, four hundred seventy-five thousand, three hundred nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 31138992324000 cubic inches would be around 2621.7 feet tall.
Recreational maths with 31138992324000
- 31138992324000 backwards is 00042329983113
- 31138992324000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31138992324000's digits is 45
- More coming soon!
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"Number 31138992324000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 31138992324000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/31138992324000/
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The information we have on file for 31138992324000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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